$\Lambda$-CDM type Heckmann - Suchuking model and union 2.1 compilation

Abstract

In this paper, we have investigated $\Lambda$CDM type cosmological model in Heckmann-Schucking space-time, by using 287 high red shift ($.3\le z\le 1.4$ ) SN Ia data of observed absolute magnitude along with their possible error from Union 2.1 compilation. We have used ${\chi }^2$ test to compare Union 2.1 compilation observed data and corresponding theoretical values of apparent magnitude $(m)$. It is found that the best fit value for $({\Omega }_m{)}_0$, $({\Omega }_{\Lambda }{)}_0$ and $({\Omega }_{\sigma }{)}_0$ are $0.2940$, $0.7058$ and $0.0002$ respectively and the derived model represents the features of accelerating universe which is consistent with recent astrophysical observations.

9 pages, 5 figures

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• Gravitational baryogenesis of cosmological constant dominated universe